GCD of 360, 618, 927, 438 Calculator

Given Input numbers are 360, 618, 927, 438

In the factoring method, we have to find the divisors of all numbers

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (360, 618, 927, 438) = 3.

Given numbers are 360, 618, 927, 438

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 618 are 2 x 3 x 103

Prime factors of 927 are 3 x 3 x 103

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 360, 618, 927, 438 is 3.

Given numbers are 360, 618, 927, 438

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(360, 618) = 37080

GCD(360, 618) = ( 360 x 618 ) / 37080

= 360 / 618

= 360

Step2:

LCM(6, 927) = 1854

GCD(6, 927) = ( 6 x 927 ) / 1854

= 6 / 927

= 6

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 360, 618, 927, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 716, 917, 352
• GCD of 123, 845, 876, 350
• GCD of 708, 625, 760, 659
• GCD of 758, 504, 439, 104
• GCD of 369, 774, 407, 499

Given numbers are 360, 618, 927, 438
The greatest common divisor of numbers 360, 618, 927, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 618, 927, 438 is 3.

1. What is the GCD of 360, 618, 927, 438?

GCD of given numbers 360, 618, 927, 438 is 3

2. How to calculate the greatest common divisor of 360, 618, 927, 438?

We can find the highest common divisor of 360, 618, 927, 438 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 360, 618, 927, 438 i.e 3.

3. How can I use the GCD of 360, 618, 927, 438Calculator?

Out the numbers 360, 618, 927, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.